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Finding the Fourth Proportional to 1,640.45, 2,258.85 and 1,402.60

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Solution

The fourth proportional to 1,640.45, 2,258.85 and 1,402.60 is: 1,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.45 : 2,258.85 = 1,402.60 : x
  2. Step 2: Convert to fraction form
    1,640.45/2,258.85 = 1,402.60/x
  3. Step 3: Cross multiply
    1,640.45x = 2,258.85 × 1,402.60
  4. Step 4: Simplify right side
    1,640.45x = 3,168,263.01
  5. Step 5: Solve for x
    x = 3,168,263.01/1,640.45
  6. Step 6: Final answer
    x = 1,931.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.